关键词: 幂律流体, 偏心环空, 内管, 轴向往复运动, 流量计算, 实验研究

Abstract: The governing equations,initial and boundary condition equations,formulas of instantaneous flow rate and the time average flow rate for the unsteady flow of the power law fluid in the eccentric annuli with inner cylinder in axially reciprocating motion in bipolar coordinate system were established. On the basis of these equations and formulas,a numerical method for calculating flow rate of the unsteady flow of the power law fluid in eccentric annuli with the inner cylinder in axially reciprocating motion was introduced. The axially reciprocating motion experiments on the unsteady flow of the aqueous solutions of partially hydrolyzed polyacrylamides (HPAM) with different mass concentration in the eccentric annuli with the inner cylinder in axially reciprocating motion were made. The time average flow rate calculated by the equations and formulas was compared with that obtained from the unsteady flow experiments. The results show that the governing equations,initial and boundary condition equations,flow rate formulas and the numerical method for calculating flow rate presented in this paper are all correct.

Key words: power law fluid, eccentric annuli, inner cylinder, axially reciprocating motion, flow rate calculation, experimental study